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222984 = 233219163
BaseRepresentation
bin110110011100001000
3102022212200
4312130020
524113414
64440200
71616046
oct663410
9368780
10222984
11142593
12a9060
137a658
145b396
1546109
hex36708

222984 has 48 divisors (see below), whose sum is σ = 639600. Its totient is φ = 69984.

The previous prime is 222979. The next prime is 222991. The reversal of 222984 is 489222.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (13325).

2222984 is an apocalyptic number.

222984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319800).

222984 is an abundant number, since it is smaller than the sum of its proper divisors (416616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222984 is a wasteful number, since it uses less digits than its factorization.

222984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 222984 is about 472.2118168788. The cubic root of 222984 is about 60.6398195960.

The spelling of 222984 in words is "two hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 163 171 228 326 342 456 489 652 684 978 1304 1368 1467 1956 2934 3097 3912 5868 6194 9291 11736 12388 18582 24776 27873 37164 55746 74328 111492 222984